I can't say what you would consider "simpler" but, using the properties of logarithms, that is
[FONT=Arial]Hey thanks for the speedy response, this is actually a smaller part of a much larger stats question I have....
chi-squared distribution=
with
where Y is actually theta
I need to develop a method for testing H0 : θ = θ0 against H0 : θ = θ1 where 0 < θ0 < θ1 < 1
But i'm stuck, i plugged the moment generating function into the formula for chi-squared but have no idea if simplifying is even the right direction... i'm not dumb i'm just stuck... help!